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Finding the Third Proportional to 254,242 and 547,892

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Solution

The third proportional to 254,242 and 547,892 is: 1,180,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,242 : 547,892 = 547,892 : x
  2. Step 2: Convert to fraction form
    254,242/547,892 = 547,892/x
  3. Step 3: Cross multiply
    254,242x = 547,892 × 547,892
  4. Step 4: Simplify right side
    254,242x = 300,185,643,664
  5. Step 5: Solve for x
    x = 300,185,643,664/254,242
  6. Step 6: Final answer
    x = 1,180,708.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.